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12435453442314 = 2327329929916361
BaseRepresentation
bin1011010011110101101011…
…0010001111100100001010
31122000211002010112221122100
42310331122302033210022
53112220302040123224
642240433552334230
72422301062134060
oct264753262174412
948024063487570
1012435453442314
113a64934305151
12148a0a8244376
136c2873185356
1430dc445a4030
1516871c0b7ac9
hexb4f5ac8f90a

12435453442314 has 48 divisors (see below), whose sum is σ = 30801886315200. Its totient is φ = 3551909590080.

The previous prime is 12435453442277. The next prime is 12435453442333. The reversal of 12435453442314 is 41324435453421.

It is a happy number.

12435453442314 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 545 + 34 + 42 + 31 + 4 = 666.

It is a super-2 number, since 2×124354534423142 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12435453442314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14542507 + ... + 15373854.

It is an arithmetic number, because the mean of its divisors is an integer number (641705964900).

Almost surely, 212435453442314 is an apocalyptic number.

12435453442314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12435453442314 is an abundant number, since it is smaller than the sum of its proper divisors (18366432872886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12435453442314 is a wasteful number, since it uses less digits than its factorization.

12435453442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29919675 (or 29919672 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 12435453442314 its reverse (41324435453421), we get a palindrome (53759888895735).

The spelling of 12435453442314 in words is "twelve trillion, four hundred thirty-five billion, four hundred fifty-three million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3299 6598 9897 19794 23093 29691 46186 59382 69279 138558 207837 415674 29916361 59832722 89749083 179498166 209414527 269247249 418829054 538494498 628243581 1256487162 1884730743 3769461486 98694074939 197388149878 296082224817 592164449634 690858524573 888246674451 1381717049146 1776493348902 2072575573719 4145151147438 6217726721157 12435453442314